168136320 has 256 divisors, whose sum is σ = 616896000. Its totient is φ = 38522880.

The previous prime is 168136289. The next prime is 168136327. The reversal of 168136320 is 23631861.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (168136327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401071 + ... + 401489.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^168136320 is an apocalyptic number.

168136320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

168136320 is an abundant number, since it is smaller than the sum of its proper divisors (448759680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168136320 is a wasteful number, since it uses less digits than its factorization.

168136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 168136320 is about 12966.7389886586. The cubic root of 168136320 is about 551.9340395875.

The spelling of 168136320 in words is "one hundred sixty-eight million, one hundred thirty-six thousand, three hundred twenty".